Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 38760: 4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Brown have to put on the 24nd square?
Answer:
Show work in this space.
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.
c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? Please provide the answer in either scientific notation, or calculate and show all 20 digits.
Click here to see answer by Nate(3495)   |
Question 38768: Tara is a sales representative for a cosmetic company. She is paid $5.15 per hour each week plus a commission of 10% of the amount of sales over $5,000.She works 40 hours one week, and she sells $7260 worth of cosmetics during that week. She has been offered a job for another cosmetic company that pays $5.00 per hour for a 40-hour week plus a commission of 4% of total sales. Which job would pay more? Should she change jobs?
Click here to see answer by Nate(3495) |
Question 38771: I have gotten the first answer, can you check to see if its right? I can't figure out B, Please help!!
4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24nd square?
Answer: t=8388608
Show work in this space.
t=a*r^(n-1)
t=1*2^(24-1)
t=1*2^(23)
t=8388608
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.
Click here to see answer by Nate(3495) |
Question 38770: Two furniture salesmen are comparing their salaries. Tom is paid $5.00 per hour plus a 15% commission of his total sales. Bob is paid $9.00 per hour plus a 10% commission of his total sales. Suppose each has sold $5000 worth of furniture, who would make the most money and during which time intervals?
Click here to see answer by Nate(3495) |
Question 38777: A small town is hosting a play as a fundraising project for a family in the town. Individuals may purchase tickets for $26 each. As a special incentive to attract couples, individuals may purchase a "couple package" for $32. (note: the "couple package" allows 2 people to attend the play for the price of $32.) On the first day of sales 23 tickets were sold and $694 was collected. How many tickets were sold to individuals for $26 each? How many people were convinced to buy the "couple package"?
Click here to see answer by Nate(3495) |
Question 38826: An airplane covered 22 miles of its route while decreasing its altitude by 13,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. (Hint: 1 mile = 5280 feet)
Thanks
Click here to see answer by Nate(3495) |
Question 38998: The ten's digit of a two digit number is 2 less than the unit's digit. The value of the number is 7 times the unit's digit. Find the digits and the value of the number.
Remember the value of a two digit number is 10 times the ten digit (t), plus the digit (u).
I tried:
let u = unit digit
u-2 = tens digit (t)
value = 10t + u = 7(u + u-2)
10(u+2)+u =7u+7u-14
10u+20+u = 14u -14
11u-14u = -14-20
-3u = 6
u = -2
incorrect
Click here to see answer by Paul(988) |
Question 39013: Need help with this word problem.
4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Brown have to put on the 24nd square?
Answer:
Show work in this space.
Click here to see answer by fractalier(1804)  |
Question 38767: Alice changes size several times. The ratio of her original height to her second height is 24 to 5. The ratio of her second height to her third height if 1 to 12. The ratio of her original height to her fourth height is 16 to 1. The tallest of these four heights is 10 feet. What is her shortest height, in inches?
Click here to see answer by fractalier(1804) |
Question 38979: George weighs 60 lbs. more than 1/2 his younger brother Galen's weight. If their weights balance when George is 4 ft. from the fulcrum on a 10 ft. long teeterboard, what are their weights?
(This is not from a textbook) Had problems on this one. Please help, Thank You
Click here to see answer by fractalier(1804) |
Question 39097: Two men lift a weight of 216 lbs. suspended from a pole 6 ft. long carried between them. If the weight is 2 1/2 ft. from one man and 3 1/2 ft. from the other, how much does each lift?
Can you please figure this one, (Not from a text that I know of)Thank You
Click here to see answer by fractalier(1804) |
Question 39262: Bob has 3000 feet of fencing available to enclose a rectangular field.
a) express the area A of rectangle as a function of x where x is the length of rectangle.
b) For what value of x is the area largest?
c) What is the maximum area?
Click here to see answer by Fermat(127)  |
Question 39341: Jane and Daphne work for a computer software company. Together they can write a particular type of computer program in 20 hours. Jane can write the program by herself in 38.75 hours. How long will it take Daphne to write the program alone?
Click here to see answer by checkley71(8405) |
Question 39302: A rectangle is 4 times as long as it is wide. A second rectangle is 5 centimenters longer and 2 centimeters wider than the first. The area of the second rectangle is 270 square centimeters greater than the first. What are the dimensions of the original rectangle?
Click here to see answer by Nate(3495) |
Question 39302: A rectangle is 4 times as long as it is wide. A second rectangle is 5 centimenters longer and 2 centimeters wider than the first. The area of the second rectangle is 270 square centimeters greater than the first. What are the dimensions of the original rectangle?
Click here to see answer by Paul(988) |
Question 39412: The monthly revenue achieved by selling x boxes of candy is calculated to be
$ x(5-0.05x). The wholesale cost of each box of candy is $1.50. How many boxes must be sold each month to maximize profit?
What is the maximum profit?
(Revenue=Cost+Profit)
Click here to see answer by josmiceli(3010) |
Question 39548: A PIN consists of 4 digits.. For extra security, a bank requires that the 4 digits (1) not be all the same [suchas 0000] (2)not be a repeated pair {suchas 7373] (3) not be a consecutive increasing/decreasing sequence (suchas 3456 or 3210, where 0 is considered the smallest digit so 7890 is not consecutive). Howmany
different PINs are possible?
Click here to see answer by benni1013(141) |
Question 39763: The sum of two numbers is 1457. Four times the first number minus twice the second number is 8. Find the larger number.
I had to turn my book in so I no longer can find the answer. I am in 8th grade Pre-Algebra
Click here to see answer by vidhyak(78) |
Question 39835: Maria, Mandy, and Crichton are on a dinosaur dig in Mexico. Each day they dig for fossils, and then check in with Leilani, who is the resident paleontologist, at the end of the day. Leilani helps the group to separate the fossils, those for the museum adn those they can keep. At the end of the first day 2/5 of the total goes to the museum. On the second day they find 6 new fossils and then 3/8 of the total goes to the museum. On the third day they find 13 new fossils adn that night the museum keeps 2/7 of the total. On the fourth day they add 7 and 4/9 goes to the museum. ON the fifth day they find 3 fossils and the museum keeps 5/6 of their total. They add 12 on the sixth day and the museum keeps 1/3 of their collection. At the end of their dig, Maria, Mandy and Crichton have 10 fossils to take home. HOw many new fossils did they collect for the museum?
Click here to see answer by josmiceli(3010) |
Question 40139: THE GRAZING GOAT
Zoe the goat is tied by a rope to one corner of a 15 meter by 25 meter barn in the middle of a large, grassy field. Over what area of the field can Zoe graze if the rope is:
a) 10 meters long?
b) 20 meters long?
c) 30 meters long?
d) 40 meters long?
e) Zoe is happiest when she has at least 400 m2 to graze. What possible lengths of rope could be used?
Click here to see answer by Nate(3495) |
Question 40139: THE GRAZING GOAT
Zoe the goat is tied by a rope to one corner of a 15 meter by 25 meter barn in the middle of a large, grassy field. Over what area of the field can Zoe graze if the rope is:
a) 10 meters long?
b) 20 meters long?
c) 30 meters long?
d) 40 meters long?
e) Zoe is happiest when she has at least 400 m2 to graze. What possible lengths of rope could be used?
Click here to see answer by checkley71(8405) |
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